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## Answers by Kurt T.

15000 = 12000 * (1.088) ^ x   15000 / 12000 = 1.088 ^ x   1.25 = 1.088 ^ x   log 1.25 = x * log 1.088   x = log 1.25 / log 1.088   x = 0.09691 / 0.03663 = 2.646   3 months.   Where is this bank?  8.8%...

1.05 x = 20370   x = 20370 / 1.05   x = 19400

The two numbers are x and 3x-6.   x + 3x - 6 = 22   4x = 28   x = 7   The two numbers are 7 and 15.

I have to ask ... should the fourth term be 4/17?   If so, after setting all numerators equal to 4, the four given terms would be 4/20, 4/19, 4/18, and 4/17.  The tenth term would be 4/11.   A harmonic progression is formed by taking the reciprocals of an arithmetic...

Is W^3 part of the denominator?  In other words, is the problem (1 / W^4) - W^3 or 1 / (W^4 - W^3)?

A number raised to a negative exponent is the reciprocal of the same number raised to the absolute value of the exponent.  So, for example, x^-4 = 1 / x^4. (2p)^-4 = 1 / (2p)^4 = 1 / 16p^4.

You want to isolate A, and the way to do this here is to divide both sides by BC.  So A = D / BC.

(X+4)(X+5)=0 (answer)

Remember FOIL ... First, Inner, Outer, Last First ... multiply the first terms of the two binomials ... x * x = x^2 Outer ... multiply the first term of the first binomial and the second term of the second binomial ... x * 5 = 5x Inner ... multiply the second term of the first binomial...

In all cases, you would substitute the number in parentheses for x and solve the equation.  For example.. f(4) = 3/4 * 4 + 2 f(4) = 3 + 2 f(4) = 5 f(-4) = 3/4 * -4 + 2 f(-4) = -3 + 2 f(-4) = -1

Let's say the smaller of the two numbers is x.  The larger of the two must be x + 22. So, x + x + 22 = 2x + 22 = 84. Subtract 22 from both sides to get 2x = 62. Divided by 2 to get x = 31. So the two numbers are 31 and 31 + 22 = 53.

The easiest way to answer this type of question is to multiply all four terms together.  You can do this because multiplication is commutative; it doesn't matter how the terms are organized as long as all are included in the final product. (-4) (10^-6) (2) (10^4) First, multiply -4...

Simplify (7x)^-2 (answer)

A negative exponent indicates a reciprocal of the positive exponent, so x^-3 = 1 / x^3.  That said... (7x)^-2 = 1 / (7x)^2 = 1 / 49x^2

The logarithm is the power to which the base is raised to get a certain number.  What's that?  You want it in English?  Well, OK... Let's start with base 10 logarithms.  (For this paragraph, "log" will mean base 10 log.)  If I say the log of 1,000 is 3, this...

The upper quartile - also known as the third quartile and the 75th percentile - is the point that divides the top quarter and bottom three quarters of a distribution.  So, if your IQ score is at that point, you did better than three quarters (75%) of the norming sample. If your data are...

Perpendicular lines intersect at a 90 degree angle.  For this to be true, either one line is horizontal (e.g., y = 5) and the other is vertical (e.g., x = 4) or the slopes are negative reciprocals of each other (e.g., 3 and -1/3). y = 2x and y = 3x intersect at the origin.  (In both...

Both lines pass through (7, -2), therefore that is the intersection point. The linear equations that define these two lines are: y = -2/3 x + 8/3 y = 1/4 x -15/4 In both cases, substituting 7 for x will yield -2 for y.  (7, -2) is the solution for this system of equations...

Explain the 101 and 570 ... do these people have degrees or more than degrees?

You can't answer this question without knowing x or the total amount invested (2x + 3000).

Was the 1992 moose population 4280 or 4620?  This will make a big difference in the slope and intercept of your equation and the expected value for 2002.

In this case, you could substitute (6x-5) for y in the first equation, solve for x, and substitute the new x value into both equations to make sure you get the same answer for y... 4x + 2 (6x - 5) = -2 4x + 12x - 10 = -2 16x = 8 x = 1/2 Now substitute 1/2 for x in...

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